Llorente equalised for Juve but a Cristiano Ronaldo brace ultimately won the points for Real, and although his side have just two points from three games he believes that qualification is still more than possible.
"We are not looking great in the standings but we still have our chances of qualifying," he told UEFA.com. "There are a lot of games left to play. We've still got Madrid and Copenhagen at home while there will be opportunities to win in Turkey. We leave here with our heads held high and will remain calm while thinking about the next game.
"The sending-off was a real pity as it was a wonderful match [until that point] with both sides having chances to win. I was really happy with the ovation I received from the fans. Every time I come here I am treated really well. It's a lovely thing to return and play here in Spain."
Juve are two points behind Galatasaray in third place in Group B.